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Multiplicity of solutions for a class of quasilinear equations involving critical Orlicz-Sobolev nonlinear term (1501.06224v1)
Published 26 Jan 2015 in math.AP
Abstract: In this work, we study the existence and multiplicity of solutions for a class of problems involving the $\phi$-Laplacian operator in a bounded domain, where the nonlinearity has a critical growth. The main tool used is the variational method combined with the genus theory for even functionals.
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